二阶线性系统可达区域大小的变化

IF 0.3 Q4 MECHANICS

Moscow University Mechanics Bulletin Pub Date : 2022-07-08 DOI:10.3103/S0027133022020029

D. I. Bugrov, M. I. Bugrova

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引用次数: 0

摘要

考虑一类线性定常完全可控二阶系统;该系统的所有特征值都是不同的，且实部为负。该控制被认为是一个以绝对值为界的标量分段连续函数。可达区域的大小定义为可达区域各点在相平面上坐标的最大绝对值。给出了可达区域的大小与系统参数的单调关系。

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Variation of the Size of Reachable Region of Second-Order Linear System

A linear time-invariant completely controllable second-order system is considered; all the eigenvalues of this system are different and have negative real parts. The control is considered to be a scalar piecewise continuous function bounded in absolute value. The size of the reachable region is defined as the maximum absolute value of the coordinates of the points of the reachable region on the phase plane. A monotonic dependence of the size of the reachable region on the parameters of the system is shown.

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来源期刊

Moscow University Mechanics Bulletin MECHANICS-

CiteScore

0.60

自引率

0.00%

发文量

期刊介绍： Moscow University Mechanics Bulletin is the journal of scientific publications, reflecting the most important areas of mechanics at Lomonosov Moscow State University. The journal is dedicated to research in theoretical mechanics, applied mechanics and motion control, hydrodynamics, aeromechanics, gas and wave dynamics, theory of elasticity, theory of elasticity and mechanics of composites.